Stability analysis of the D-dimensional nonlinear Schroedinger equation with trap and two- and three-body interactions
A. Gammal, T. Frederico, Lauro Tomio, F. Kh. Abdullaev
Abstract
Considering the static solutions of the D-dimensional nonlinear Schroedinger equation with trap and attractive two-body interactions, the existence of stable solutions is limited to a maximum critical number of particles, when D is greater or equal 2. In case D=2, we compare the variational approach with the exact numerical calculations. We show that, the addition of a positive three-body interaction allows stable solutions beyond the critical number. In this case, we also introduce a dynamical analysis of the conditions for the collapse.
Create a lesson
Related papers
Contact-mediated asymmetric delay and rate memory in snapping beam pairs
Gavin Linton, Shima Mahmoudirad, Nidhi Pashine et al.
Time-temperature-composition equivalence of the viscoelastic behavior through the glass transition of digitally mixed 3D-printed polymers
Beijun Shen, Sanat K. Kumar, Mary C. Boyce
A Minimal Theoretical Model for Morphodynamic Selection in Soft Matter Systems
Weihua Mu, Da Wang
A Higher-Order Stroh Framework for Weakly Nonlinear Post-Bifurcation Analysis
Shiyuan Deng, Han Ye, Yafei Wang et al.
Active remodeling rescues a microswimmer from geometric trapping
Ayushi Bhatt, Nico Schramma, Jasper van der Gucht et al.
Surface Granular flows: Two Related Examples
Devang V. Khakhar, Ashish V. Orpe